1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth

a. sinθ=−0.763; tanθ=−1.181

b. sinθ=−0.763; tanθ=−0.847

c. sinθ=0.763; tanθ=0.847

d. sinθ=0.763; tanθ=1.181


2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate

a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.

b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.

c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.

d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.